7,728,629

241 × 32069

7,728,629 factors as 241 × 32069. Its 4 positive divisors give a proper-divisor sum of 32,311, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 241 × 32069

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,760,940

Proper Divisor Sum 32,311

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7728613 ← → #7728631

Radix Representation

Decimal	7728629
Binary	11101011110110111110101 (23 bits)
Octal	0o35366765
Hexadecimal	0x75EDF5

Divisor Catalog (4)

1 241 32,069 7,728,629

Collatz Trajectory (80 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,728,629 23,185,888 11,592,944 5,796,472 2,898,236 1,449,118 724,559 2,173,678 1,086,839 3,260,518 1,630,259 4,890,778 2,445,389 7,336,168 3,668,084 1,834,042 917,021 2,751,064 1,375,532 687,766 343,883 1,031,650 515,825 1,547,476 773,738 386,869 1,160,608 580,304 290,152 145,076 72,538 36,269 108,808 54,404 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38

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